https://github.com/reputeless/tenkei_90

競プロ典型 90 問練習 (C++17)
https://github.com/reputeless/tenkei_90
Last synced: 4 months ago
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競プロ典型 90 問練習 (C++17)
Host: GitHub
URL: https://github.com/reputeless/tenkei_90
Owner: Reputeless
License: cc0-1.0
Created: 2021-12-16T01:50:56.000Z (over 3 years ago)
Default Branch: main
Last Pushed: 2023-03-13T09:09:36.000Z (over 2 years ago)
Last Synced: 2025-01-01T10:44:35.161Z (6 months ago)
Homepage:
Size: 163 KB
Stars: 59
Watchers: 3
Forks: 1
Open Issues: 0
Metadata Files:
- Readme: README.md
- License: LICENSE
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README

        # 競プロ典型 90 問 練習 (C++17)

[「競プロ典型 90 問」](https://atcoder.jp/contests/typical90)を標準的な C++17 コードで解いていく、個人用勉強プロジェクトです。  

C++17 標準ライブラリの機能を優先して使い、競技プログラミング固有のハックやスタイル（``, 大きな配列、マクロ、`using namespace std` 等）の使用を避けているため、一般的な C++ ソフトウェア開発で再利用できる、モダン C++ の標準を意識したコードになっています。  

バグや改善案の報告は、このリポジトリの Issue をご利用ください。

### ★2

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

|[004](https://atcoder.jp/contests/typical90/tasks/typical90_d)|[Cross Sum](./004.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/004.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/004.cpp)|扱いやすい形にして前計算しよう|

|[010](https://atcoder.jp/contests/typical90/tasks/typical90_j)|[Score Sum Queries](./010.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/010.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/010.cpp)|区間の総和は累積和|

|[022](https://atcoder.jp/contests/typical90/tasks/typical90_v)|[Cubic Cake](./022.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/022.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/022.cpp)|最大公約数はユークリッドの互除法|

|[024](https://atcoder.jp/contests/typical90/tasks/typical90_x)|[Select +／- One](./024.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/024.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/024.cpp)|パリティを考える|

|[027](https://atcoder.jp/contests/typical90/tasks/typical90_aa)|[Sign Up Requests](./027.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/027.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/027.cpp)|map を使いこなそう|

|[033](https://atcoder.jp/contests/typical90/tasks/typical90_ag)|[Not Too Bright](./033.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/033.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/033.cpp)|コーナーケースに気を付けよう|

|[055](https://atcoder.jp/contests/typical90/tasks/typical90_bc)|[Select 5](./055.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/055.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/055.cpp)|「定数倍」を見積もる|

|[061](https://atcoder.jp/contests/typical90/tasks/typical90_bi)|[Deck](./061.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/061.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/061-02.cpp)|deque を知っていますか？|

|[067](https://atcoder.jp/contests/typical90/tasks/typical90_bo)|[Base 8 to 9](./067.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/067.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/067.cpp)|N 進法展開を理解しよう|

|[078](https://atcoder.jp/contests/typical90/tasks/typical90_bz)|[Easy Graph Problem](./078.md)|★2|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/078.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/078.cpp)|グラフの基本を知ろう|

### ★3

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

|[002](https://atcoder.jp/contests/typical90/tasks/typical90_b)|[Encyclopedia of Parentheses](./002.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/002.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/002.cpp)|小さい制約は全探索を考えよう|

|[007](https://atcoder.jp/contests/typical90/tasks/typical90_g)|[CP Classes](./007.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/007.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/007.cpp)|要素の検索はソートして二分探索|

|[014](https://atcoder.jp/contests/typical90/tasks/typical90_n)|[We Used to Sing a Song Together](./014.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/014.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/014.cpp)|ソートして貪欲法|

|[016](https://atcoder.jp/contests/typical90/tasks/typical90_p)|[Minimum Coins](./016.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/016.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/016.cpp)|工夫した全探索|

|[018](https://atcoder.jp/contests/typical90/tasks/typical90_r)|[Statue of Chokudai](./018.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/018.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/018.cpp)|三角関数を使いこなそう|

|[020](https://atcoder.jp/contests/typical90/tasks/typical90_t)|[Log Inequality](./020.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/020.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/020.cpp)|整数で処理して誤差をなくそう|

|[032](https://atcoder.jp/contests/typical90/tasks/typical90_af)|[AtCoder Ekiden](./032.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/032.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/032.cpp)|小さい制約は順列全探索|

|[038](https://atcoder.jp/contests/typical90/tasks/typical90_al)|[Large LCM](./038.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/038.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/038.cpp)|オーバーフローに注意|

|[044](https://atcoder.jp/contests/typical90/tasks/typical90_ar)|[Shift and Swapping](./044.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/044.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/044.cpp)|見かけ上の変化をメモ|

|[046](https://atcoder.jp/contests/typical90/tasks/typical90_at)|[I Love 46](./046.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/046.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/046.cpp)|同じ意味のものをまとめて考える|

|[048](https://atcoder.jp/contests/typical90/tasks/typical90_av)|[I will not drop out](./048.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/048.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/048.cpp)|上界と下界を見積もる|

|[050](https://atcoder.jp/contests/typical90/tasks/typical90_ax)|[Stair Jump](./050.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/050.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/050.cpp)|漸化式を立てて DP をしよう|

|[052](https://atcoder.jp/contests/typical90/tasks/typical90_az)|[Dice Product](./052.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/052.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/052.cpp)|因数分解をしよう|

|[064](https://atcoder.jp/contests/typical90/tasks/typical90_bl)|[Uplift](./064.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/064.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/064.cpp)|階差を考えよう|

|[069](https://atcoder.jp/contests/typical90/tasks/typical90_bq)|[Colorful Blocks 2](./069.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/069.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/069.cpp)|a^b mod m は繰り返し二乗法|

|[075](https://atcoder.jp/contests/typical90/tasks/typical90_bw)|[Magic For Balls](./075.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/075.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/075.cpp)|O(√N) での素因数分解|

|[076](https://atcoder.jp/contests/typical90/tasks/typical90_bx)|[Cake Cut](./076.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/076.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/076.cpp)|円環を列にして二倍にする|

|[079](https://atcoder.jp/contests/typical90/tasks/typical90_ca)|[Two by Two](./079.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/079.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/079.cpp)|操作順序によらない|

|[082](https://atcoder.jp/contests/typical90/tasks/typical90_cd)|[Counting Numbers](./082.md)|★3|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/082.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/082a.cpp)|部分問題に分解する / 数列の和の公式|

|[084](https://atcoder.jp/contests/typical90/tasks/typical90_cf)|[There are two types of characters](./084.md)|★3|(1) [👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/084-01.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/084-01.cpp)
(2) [👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/084-02.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/084-02.cpp)|(解法 1) ランレングス圧縮
(解法 2) 累積的に計算しよう|

### ★4

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

|[001](https://atcoder.jp/contests/typical90/tasks/typical90_a)|[Yokan Party](./001.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/001.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/001.cpp)|答えで二分探索|

|[003](https://atcoder.jp/contests/typical90/tasks/typical90_c)|[Longest Circular Road](./003.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/003.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/003.cpp)|木の直径は最短距離計算を 2 回やる|

|[008](https://atcoder.jp/contests/typical90/tasks/typical90_h)|[AtCounter](./008.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/008.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/008.cpp)|状態 DP による高速化|

|[012](https://atcoder.jp/contests/typical90/tasks/typical90_l)|[Red Painting](./012.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/012.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/012.cpp)|連結判定は Union-Find|

|[026](https://atcoder.jp/contests/typical90/tasks/typical90_z)|[Independent Set on a Tree](./026.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/026.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/026.cpp)|二部グラフの性質を使おう|

|[028](https://atcoder.jp/contests/typical90/tasks/typical90_ab)|[Cluttered Paper](./028.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/028.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/028.cpp)|領域加算は二次元いもす法|

|[034](https://atcoder.jp/contests/typical90/tasks/typical90_ah)|[There are few types of elements](./034.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/034.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/034.cpp)|単調性を利用した尺取り法|

|[042](https://atcoder.jp/contests/typical90/tasks/typical90_ap)|[Multiple of 9](./042.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/042.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/042.cpp)|9 の倍数の性質|

|[043](https://atcoder.jp/contests/typical90/tasks/typical90_aq)|[Maze Challenge with Lack of Sleep](./043.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/043.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/043.cpp)|拡張 BFS・ダイクストラ|

|[058](https://atcoder.jp/contests/typical90/tasks/typical90_bf)|[Original Calculator](./058.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/058.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/058.cpp)|周期性を考える|

|[063](https://atcoder.jp/contests/typical90/tasks/typical90_bk)|[Monochromatic Subgrid](./063.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/063.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/063.cpp)|変な制約に着目する / 状態数が少ない変量を全探索|

|[070](https://atcoder.jp/contests/typical90/tasks/typical90_br)|[Plant Planning](./070.md)|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/070.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/070.cpp)|x, y 独立に考える|

|[072](https://atcoder.jp/contests/typical90/tasks/typical90_bt)|Loop Railway Plan|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/072.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/072.cpp)|"何通りか" の感覚 / バックトラック|

|[085](https://atcoder.jp/contests/typical90/tasks/typical90_cg)|Multiplication 085|★4|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/085-01.jpg), [👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/085-02.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/085.cpp)|約数の個数は少ない / 工夫した全探索 / 約数列挙の復習|

### ★5

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

|[006](https://atcoder.jp/contests/typical90/tasks/typical90_f)|Smallest Subsequence|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/006.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/006.cpp)|辞書順最小は前から貪欲法|

|[013](https://atcoder.jp/contests/typical90/tasks/typical90_m)|[Passing](./013.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/013.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/013.cpp)|各頂点への最短経路はダイクストラ|

|[021](https://atcoder.jp/contests/typical90/tasks/typical90_u)|[Come Back in One Piece](./021.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/021.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/021.cpp)|強連結成分分解（SCC）をしよう|

|[029](https://atcoder.jp/contests/typical90/tasks/typical90_ac)|[Long Bricks](./029.md)|★5|(1) [👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/029-01.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/029-01.cpp),[📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/029-02.cpp)
(2) [👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/029-02.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/029-03.cpp)|(解法 1) 「座標圧縮」で効率化
(解法 2) 区間に対する処理は「セグメント木」|

|030| | | | |

|[036](https://atcoder.jp/contests/typical90/tasks/typical90_aj)|[Max Manhattan Distance](./036.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/036.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/036.cpp)|マンハッタン距離は 45 度回転|

|[037](https://atcoder.jp/contests/typical90/tasks/typical90_ak)|[Don't Leave the Spice](./037.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/037.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/037.cpp)|DP をセグメント木で高速化|

|[039](https://atcoder.jp/contests/typical90/tasks/typical90_am)|[Tree Distance](./039.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/039.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/039.cpp)|答えへの貢献度を考える|

|051| | | | |

|056| | | | |

|[060](https://atcoder.jp/contests/typical90/tasks/typical90_bh)|[Chimera](./060.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/060.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/060.cpp)|両側から考える / 最長増加部分列|

|[066](https://atcoder.jp/contests/typical90/tasks/typical90_bn)|[Various Arrays](./066.md)|★5|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/066.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/066a.cpp),[📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/066b.cpp)|期待値の線形性|

|068| | | | |

|073| | | | |

|081| | | | |

|086| | | | |

|087| | | | |

### ★6

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

|[019](https://atcoder.jp/contests/typical90/tasks/typical90_s)|[Pick Two](./019.md)|★6|[👨‍🏫](https://raw.githubusercontent.com/E869120/kyopro_educational_90/main/editorial/019.jpg) / [📝](https://github.com/E869120/kyopro_educational_90/blob/main/sol/019.cpp)|列の操作は区間 DP|

### ★7

|問題|タイトル (解答コードへのリンク)|難易度|公式解説|キーワード (公式解説から引用)|

|:--:|--|:--:|:--:|--|

### 参考リンク

- [競プロ典型 90 問 - AtCoder コンテストページ](https://atcoder.jp/contests/typical90)

- [競プロ典型 90 問 - GitHub 公式リポジトリ](https://github.com/E869120/kyopro_educational_90)

- [競プロ典型 90 問 - テストケース](https://www.dropbox.com/sh/nx3tnilzqz7df8a/AAC-L790bxKBVkmB6pdMUgk4a/typical90?dl=0&subfolder_nav_tracking=1)

- [AtCoder での実力アップを目指そう！ ～競プロ典型 90 問～ - Qiita](https://qiita.com/e869120/items/1b2a5f0f07fd927e44e9)

- [「競プロ典型90問」非公式難易度表・ソースコード共有 - Google スプレッドシート](https://docs.google.com/spreadsheets/d/1GG4Higis4n4GJBViVltjcbuNfyr31PzUY_ZY1zh2GuI/edit#gid=0)

- [AC (AtCoder) Library Document](https://atcoder.github.io/ac-library/document_ja/index.html)
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